TSTP Solution File: SWW677_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW677_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:21:55 EDT 2023
% Result : Theorem 23.41s 23.59s
% Output : Proof 23.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW677_1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 18:21:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.46 %----Proving TF0_ARI
% 23.41/23.59 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.M7ULm681St/cvc5---1.0.5_12009.p...
% 23.41/23.59 ------- get file name : TPTP file name is SWW677_1
% 23.41/23.59 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12009.smt2...
% 23.41/23.59 --- Run --finite-model-find --decision=internal at 15...
% 23.41/23.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 23.41/23.59 --- Run --no-e-matching --full-saturate-quant at 15...
% 23.41/23.59 % SZS status Theorem for SWW677_1
% 23.41/23.59 % SZS output start Proof for SWW677_1
% 23.41/23.59 (
% 23.41/23.59 (let ((_let_1 (not (forall ((L Int) (U Int) (A |tptp.'Array[Int,Int]'|) (E Int)) (let ((_let_1 (> L U))) (let ((_let_2 (tptp.length A))) (=> (and (<= 0 L) (< U _let_2) (tptp.sorted A 0 (- _let_2 1))) (and (=> _let_1 true) (=> (not _let_1) (exists ((M_1 Int)) (let ((_let_1 (|tptp.'select:(Array[Int,Int]*Int)>Int'| A M_1))) (let ((_let_2 (< _let_1 E))) (let ((_let_3 (= _let_1 E))) (and (= M_1 (tptp.div2 (+ L U))) (=> _let_3 true) (=> (not _let_3) (and (=> _let_2 (exists ((L_2 Int)) (let ((_let_1 (tptp.length A))) (and (= L_2 (+ M_1 1)) (<= 0 L_2) (< U _let_1) (tptp.sorted A 0 (- _let_1 1)))))) (=> (not _let_2) (exists ((U_3 Int)) (let ((_let_1 (tptp.length A))) (and (= U_3 (- M_1 1)) (<= 0 L) (< U_3 _let_1) (tptp.sorted A 0 (- _let_1 1)))))))))))))))))))))) (let ((_let_2 (forall ((A Int) (Res Int)) (= (and (<= (* 2 Res) A) (> (* 2 (+ Res 1)) A)) (= (tptp.div2 A) Res))))) (let ((_let_3 (tptp.length SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) _let_3)))) (let ((_let_5 (>= _let_4 0))) (let ((_let_6 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_8 (>= _let_7 1))) (let ((_let_9 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.div2 _let_9))) (let ((_let_11 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 2) _let_10)))) (let ((_let_12 (>= _let_11 0))) (let ((_let_13 (* (- 1) _let_10))) (let ((_let_14 (+ _let_3 _let_13))) (let ((_let_15 (>= _let_14 0))) (let ((_let_16 (tptp.sorted SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0 (+ (- 1) _let_3)))) (let ((_let_17 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 0))) (let ((_let_18 (and _let_17 _let_16 _let_15))) (let ((_let_19 (|tptp.'select:(Array[Int,Int]*Int)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_20 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (* (- 1) _let_19)) 1))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (>= _let_10 (- 1)))) (let ((_let_23 (not _let_5))) (let ((_let_24 (and _let_23 _let_16 _let_22))) (let ((_let_25 (or (not _let_20) _let_24))) (let ((_let_26 (and _let_25 _let_21))) (let ((_let_27 (not _let_16))) (let ((_let_28 (not _let_17))) (let ((_let_29 (or _let_28 _let_5 _let_27 _let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_19) _let_26))) (let ((_let_30 (forall ((L Int) (U Int) (A |tptp.'Array[Int,Int]'|) (E Int)) (let ((_let_1 (tptp.div2 (+ L U)))) (let ((_let_2 (tptp.length A))) (let ((_let_3 (tptp.sorted A 0 (+ (- 1) _let_2)))) (let ((_let_4 (>= L 0))) (let ((_let_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| A _let_1))) (let ((_let_6 (>= (+ E (* (- 1) _let_5)) 1))) (let ((_let_7 (>= (+ U (* (- 1) _let_2)) 0))) (or (not _let_4) _let_7 (not _let_3) (>= (+ L (* (- 1) U)) 1) (= E _let_5) (and (or (not _let_6) (and (not _let_7) _let_3 (>= _let_1 (- 1)))) (or _let_6 (and _let_4 _let_3 (>= (+ _let_2 (* (- 1) _let_1)) 0))))))))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_29 1)) :args ((or _let_23 _let_29))) _let_35 :args (_let_23 true _let_29)))) (let ((_let_37 (not _let_8))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 3)) _let_35 :args (_let_37 true _let_29)))) (let ((_let_39 (>= _let_11 2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (and _let_12 _let_40))) (let ((_let_42 (forall ((A Int) (Res Int)) (let ((_let_1 (+ A (* (- 2) Res)))) (= (and (>= _let_1 0) (not (>= _let_1 2))) (= Res (tptp.div2 A))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_9 _let_10 QUANTIFIERS_INST_ENUM)) :args _let_44))) _let_43 :args (_let_41 false _let_42)))) (let ((_let_46 (not _let_41))) (let ((_let_47 (not _let_15))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (+ _let_6 _let_10)))) (let ((_let_49 (>= _let_9 (- 1)))) (let ((_let_50 (>= _let_9 1))) (let ((_let_51 (not _let_50))) (let ((_let_52 (and _let_51 _let_49))) (let ((_let_53 (= _let_52 _let_48))) (let ((_let_54 (REFL :args (_let_29)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_17))) :args _let_33)) :args ((or _let_17 _let_29))) _let_35 :args (_let_17 true _let_29)))) (let ((_let_56 (not _let_22))) (let ((_let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_22))))) (let ((_let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_8))))) (let ((_let_59 (= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13) 0))) (let ((_let_60 ((not _let_59)))) (let ((_let_61 (_let_59))) (let ((_let_62 (false))) (let ((_let_63 (ASSUME :args (_let_17)))) (let ((_let_64 (_let_56))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (MACRO_SR_PRED_TRANSFORM _let_65 :args ((< _let_10 (- 1)))))) (let ((_let_67 (ASSUME :args (_let_37)))) (let ((_let_68 (MACRO_SR_PRED_TRANSFORM _let_67 :args ((< _let_7 1))))) (let ((_let_69 (ASSUME :args (_let_48)))) (let ((_let_70 (not _let_49))) (let ((_let_71 (INT_TIGHT_UB _let_68))) (let ((_let_72 (_let_70))) (let ((_let_73 (_let_52))) (let ((_let_74 (_let_51))) (let ((_let_75 (_let_50))) (let ((_let_76 (ASSUME :args (_let_40)))) (let ((_let_77 (ASSUME :args _let_75))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 2)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_16))) :args _let_33)) :args ((or _let_16 _let_29))) _let_35 :args (_let_16 true _let_29)))) (let ((_let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_5))))) (let ((_let_80 (_let_24))) (let ((_let_81 ((not _let_12)))) (let ((_let_82 (_let_12))) (let ((_let_83 (ASSUME :args (_let_23)))) (let ((_let_84 (ASSUME :args (_let_47)))) (let ((_let_85 (ASSUME :args _let_82))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_83 _let_84 _let_85) :args (_let_23 _let_37 _let_47 _let_12)) (SCOPE (CONTRA _let_85 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_85 (MACRO_SR_PRED_TRANSFORM _let_84 :args ((< _let_14 0))) (MACRO_SR_PRED_TRANSFORM _let_83 :args ((< _let_4 0))) _let_71 :args ((- 1.0) 2.0 2.0 1.0)) :args _let_62) :args _let_82) :args ((< _let_11 0))) :args _let_81)) :args (_let_37 _let_23 _let_47 _let_12)) :args ((not (and _let_23 _let_37 _let_47 _let_12)) SB_LITERAL))) (CONG _let_79 _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_15))) (REFL :args _let_81) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_18)) :args ((or _let_28 _let_27 _let_18 _let_47))) _let_55 _let_78 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 5)) _let_35 :args ((not _let_26) true _let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_80) (CONG (REFL :args _let_80) _let_79 (REFL :args (_let_27)) (REFL :args _let_64) :args _let_33)) :args ((or _let_5 _let_27 _let_24 _let_56))) _let_36 _let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_65 _let_76 _let_77) :args (_let_56 _let_50 _let_40)) (SCOPE (CONTRA _let_77 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_77 (MACRO_SR_PRED_TRANSFORM _let_76 :args ((< _let_11 2))) _let_66 :args ((- 1.0) 1.0 2.0)) :args _let_62) :args _let_75) :args ((< _let_9 1))) :args _let_74)) :args (_let_56 _let_40 _let_50)) :args ((not (and _let_56 _let_50 _let_40)) SB_LITERAL))) (CONG _let_57 (REFL :args _let_74) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_40 _let_46))) _let_45 :args (_let_40 false _let_41)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_73) (CONG (REFL :args _let_73) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) (REFL :args _let_72) :args _let_33)) :args ((or _let_50 _let_70 _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_72) :args ((< _let_9 (- 1)))) _let_71 _let_63 :args (1.0 1.0 (- 2.0))) :args _let_62) :args (_let_37 _let_17 _let_70))) :args ((or _let_8 _let_28 _let_49))) :args ((or _let_28 _let_8 _let_49))) _let_55 _let_38 :args (_let_49 false _let_17 true _let_8)) (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_48 (not _let_52) (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_9 _let_9 QUANTIFIERS_INST_ENUM)) :args _let_44))) _let_43 :args (_let_53 false _let_42)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_65 _let_67 _let_69) :args (_let_17 _let_37 _let_56 _let_48)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_69 :args _let_61) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_61) _let_68 _let_66 _let_63 :args (1.0 1.0 1.0 (- 2.0))) :args _let_62) :args _let_61) :args _let_60) :args _let_60)) :args (_let_17 _let_56 _let_37 _let_48)) :args ((not (and _let_17 _let_37 _let_56 _let_48)) SB_LITERAL))) (CONG (REFL :args (_let_28)) _let_58 _let_57 (REFL :args ((not _let_48))) :args _let_33)) _let_38 _let_55 :args (_let_22 true _let_39 false _let_50 false _let_49 true _let_52 false _let_53 true _let_48 true _let_8 false _let_17)) :args (_let_24 true _let_5 false _let_16 false _let_22)) :args (_let_25 false _let_24)) :args ((not _let_21) true _let_26 false _let_25)) :args ((not _let_18) true _let_21)) :args (_let_47 false _let_17 false _let_16 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 0)) :args ((or _let_12 _let_46))) _let_45 :args (_let_12 false _let_41)) _let_38 _let_36 :args (false true _let_15 false _let_12 true _let_8 true _let_5)) :args ((forall ((A |tptp.'Array[Int,Int]'|) (I Int) (E Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| A I E) I) E)) (forall ((A |tptp.'Array[Int,Int]'|) (I Int) (J Int) (E Int)) (=> (not (= I J)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| A I E) J) (|tptp.'select:(Array[Int,Int]*Int)>Int'| A J)))) (forall ((A |tptp.'Array[Int,Int]'|) (B |tptp.'Array[Int,Int]'|)) (=> (forall ((I Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) (|tptp.'select:(Array[Int,Int]*Int)>Int'| B I))) (= A B))) (forall ((I Int) (E Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'const:(Int)>Array[Int,Int]'| E) I) E)) _let_2 (forall ((A |tptp.'Array[Int,Int]'|)) (>= (tptp.length A) 0)) (forall ((A |tptp.'Array[Int,Int]'|) (L Int) (U Int)) (= (tptp.sorted A L U) (forall ((I Int) (J Int)) (=> (and (<= L I) (< I J) (<= J U)) (<= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) (|tptp.'select:(Array[Int,Int]*Int)>Int'| A J)))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 23.41/23.60 )
% 23.41/23.60 % SZS output end Proof for SWW677_1
% 23.41/23.60 % cvc5---1.0.5 exiting
% 23.43/23.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------